2. Find the square root of the following:
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4x^2+9y^2-25z^2+12xy
=(2x)^2+(3y)^2+2×2x×3y-25z^2
=(2x+3y)^2-(5y)^2
=(2x+3y-5z)(2x+3y+5z)
Hope it will help u.
=(2x)^2+(3y)^2+2×2x×3y-25z^2
=(2x+3y)^2-(5y)^2
=(2x+3y-5z)(2x+3y+5z)
Hope it will help u.
Answered by
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Solution :
4x²+9y²+25z²-12xy+30yz-20zx
= (-2x)² + (3y)² + (5z)²+ 2(-2x)3y
+2(3y)(5z)+ 2(5z)(-2x)
= ( -2x + 3y + 5z )²
[ (a+b+c)²=a²+b²+c²+2ab+2bc+2ca]
= ( -2x+3y+5z)( -2x+3y+5z)
Square root of given
expression = ( -2x+3y+5z)
••••
4x²+9y²+25z²-12xy+30yz-20zx
= (-2x)² + (3y)² + (5z)²+ 2(-2x)3y
+2(3y)(5z)+ 2(5z)(-2x)
= ( -2x + 3y + 5z )²
[ (a+b+c)²=a²+b²+c²+2ab+2bc+2ca]
= ( -2x+3y+5z)( -2x+3y+5z)
Square root of given
expression = ( -2x+3y+5z)
••••
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